DEPENDENCE ORDERING FOR QUEUING NETWORKS WITH BREAKDOWN AND REPAIR-Reference-Cited by-同舟云学术

DEPENDENCE ORDERING FOR QUEUING NETWORKS WITH BREAKDOWN AND REPAIR

Published:2006-09-19 Issue:4 Volume:20 Page:575-594
ISSN:0269-9648
Container-title:Probability in the Engineering and Informational Sciences
language:en
Short-container-title:Prob. Eng. Inf. Sci.

Author:

Daduna Hans,Kulik Rafał,Sauer Cornelia,Szekli Ryszard

Abstract

In this article we introduce isotone differences stochastic ordering of Markov processes on lattice ordered state spaces as a device to compare the internal dependencies of two such processes. We derive a characterization in terms of intensity matrices. This enables us to compare the internal dependency structure of different degradable Jackson networks in which the nodes are subject to random breakdowns and repairs. We show that the performance behavior and the availability of such networks can be compared.

Publisher

Cambridge University Press (CUP)

Subject

Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability

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